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Sibirskii Zhurnal Industrial'noi Matematiki, 2023, Volume 26, Number 4, Pages 109–124
DOI: https://doi.org/10.33048/SIBJIM.2023.26.408 (Mi sjim1264) 		 
Backlund transformations of the relativistic Schrodinger equation

M. V. Neschchadimab, A. A. Simonovb

a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
b Novosibirsk State University, Novosibirsk, 630090 Russia
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DOI: https://doi.org/10.33048/SIBJIM.2023.26.408
Abstract: We study the system of equations obtained on the basis of the relativistic Schrodinger equation and relating the potential, amplitude, and phase functions. Using the methods of the theory of consistency of systems of partial differential equations, we obtain completely integrable systems that relate only two functions of the above three. The systems found are related by Backlund transformations.
Keywords: relativistic Schrodinger equation, Backlund transformation, consistency condition.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0009
Received: 23.07.2023
Revised: 12.10.2023
Accepted: 01.11.2023
English version:
Journal of Applied and Industrial Mathematics, 2023, Volume 17, Issue 4, Pages 828–841
DOI: https://doi.org/10.1134/S1990478923040129
Document Type: Article
UDC: 517.9
Language: Russian
Citation: M. V. Neschchadim, A. A. Simonov, “Backlund transformations of the relativistic Schrodinger equation”, Sib. Zh. Ind. Mat., 26:4 (2023), 109–124; J. Appl. Industr. Math., 17:4 (2023), 828–841
Citation in format AMSBIB
\Bibitem{NesSim23}
\by M.~V.~Neschchadim, A.~A.~Simonov
\paper Backlund transformations of the relativistic Schrodinger equation
\jour Sib. Zh. Ind. Mat.
\yr 2023
\vol 26
\issue 4
\pages 109--124
\mathnet{http://mi.mathnet.ru/sjim1264}
\crossref{https://doi.org/10.33048/SIBJIM.2023.26.408}
\transl
\jour J. Appl. Industr. Math.
\yr 2023
\vol 17
\issue 4
\pages 828--841
\crossref{https://doi.org/10.1134/S1990478923040129}
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    		Сибирский журнал индустриальной математики
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